Two metal balls A and B negligible radius are floating at rest on space station

Question

Two metal balls A and B negligible radius are floating at rest on space station freedom between two metal bulkheads, connected by a taut noncoducting thread of length 1.95m. Ball A carries charge t, and ball B carries charge 2q. Each ball is 1.72 m away from a bulkhead. (a) If the tension in the string is 2.60 N, what is the magnitude of q? (Ignore array constribution from induced charge in the bulkhead) (b) What happens to the system as time passes? Explain. (Assume the thread is oriented perpendicular to the bulkheads.)

Explanation / Answer

tension T = electric force = k*q1*q2/L^2

L = length of the thread

2.6 = 9*10^9*q*2q/2.95^2

charge q = 3.54*10^-5 C

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